Electromagnetic Induction
We are planning 5 problem sets on the topic of Electromagnetic Induction. Most problems are multi-part problems requiring an extensive analysis. The problems target your ability to apply concepts of magnetic fields in order to analyze situations in which a moving charge induces a magnetic effect or a changing magnetic flux induces an emf.
Problem Sets
Set EM8: Magnetic Flux
3 Problems - Medium Difficulty
Use the definition of magnetic flux to calculate the flux value when B-field and area vectors are positioned in various spatial geometries.
Set EM9: Changing Magnetic Flux: Faraday's Law
5 Problems - Hard Difficulty
Use Faraday's Law to determine ε, the electromotive force, that is generated by a changing magnetic flux. Use Lenz's Law to determine the direction that the electromotive force is applied to the positive charge in the conductor by convention.
Set EM10: Inductance
6 Problems - Hard Difficulty
Calculate the inductance of a solenoid(coiled wire) based on physical characteristics. Use Faraday's Law to determine ε, the electromotive force, that is generated when the magnetic flux inside the solenoid changes. Use Lenz's Law to determine the direction of the force.
Set EM11: LR Circuits
6 Problems - Hard Difficulty
Use the relationships between inductor characteristics, complete circuits, and transient energizing and de-energizing equations to perform calculations. These calculations involve current, voltage and energy stored in a inductor in series with a resistor. Includes 6 multi-part problems.
Set EM12: LC and Underdamped LRC Circuits
5 Problems - Very Hard Difficulty
Use the relationships between capacitor characteristics, inductor characteristics, complete circuits, and transient energizing and de-energizing equations to perform calculations. These calculations involve current, voltage and energy stored in a capacitor and inductor in both LC and LRC underdamped circuits. Includes 6 multi-part problems.